Hii Sayan..

For getting admission at Government College of Engineering and ceramic Technology, Kolkata I would like to tell you one important detail that admissions are possible in the college only if you are having home state quota of West Bengal.

Coming to your question with a General merit rank above 5000 you can surely get admission at gcect in CSE department. You can expect to get admission in both CSE and IT department in your desired college ,gcect.

Even you can try to get admissions at Jadavpur University in the mop up round when the possibilities increase to get a seat in the college.

Hope it helps. 

Best of luck for your future.